Take a moment to solve this problem using any method you wish…

*A farm has a total of 480 llamas and alpacas. *

*\(\frac{4}{5}\) of the number of llamas at the farm are equal to \(\frac{4}{7}\) of the number of alpacas.*

*How many more alpacas than llamas are there?*

I’ll wait.

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Can I move on?

It is likely you tried some sort of algebra. If so, it might have looked a little like this…

Gross.

Using tape diagrams, it would look like this…

Take a moment to look at the tape diagram above.

What do you notice? What do you wonder?

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Using tape diagrams, this problem requires no mathematics beyond 4th grade division and 4th grade fractions. The SAME problem can be solved using fancy algebra or simple arithmetic.

In a nutshell, tape diagrams increase access to rigorous mathematics for ALL students.

Look forward to an upcoming announcement for a fantastic workshop on tape diagrams.

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